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Finding the Fourth Proportional to 106,313.31, 159,469.97 and 99,817.92

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Solution

The fourth proportional to 106,313.31, 159,469.97 and 99,817.92 is: 149,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,313.31 : 159,469.97 = 99,817.92 : x
  2. Step 2: Convert to fraction form
    106,313.31/159,469.97 = 99,817.92/x
  3. Step 3: Cross multiply
    106,313.31x = 159,469.97 × 99,817.92
  4. Step 4: Simplify right side
    106,313.31x = 15,917,960,208.77
  5. Step 5: Solve for x
    x = 15,917,960,208.77/106,313.31
  6. Step 6: Final answer
    x = 149,726.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.